101688160 has 48 divisors (see below), whose sum is σ = 274561056. Its totient is φ = 34864128.

The previous prime is 101688157. The next prime is 101688193. The reversal of 101688160 is 61886101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44277 + ... + 46516.

It is an arithmetic number, because the mean of its divisors is an integer number (5720022).

Almost surely, 2^101688160 is an apocalyptic number.

101688160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101688160 is an abundant number, since it is smaller than the sum of its proper divisors (172872896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101688160 is an equidigital number, since it uses as much as digits as its factorization.

101688160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90815 (or 90807 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 101688160 is about 10084.0547400339. The cubic root of 101688160 is about 466.7562367754.

The spelling of 101688160 in words is "one hundred one million, six hundred eighty-eight thousand, one hundred sixty".